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Concept explainers
Use a table of values to graph each equation. State the domain and range.
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Answer to Problem 2QC
The domain is all real numbers. The range is all real numbers.
Explanation of Solution
Given:
The equation:
Concept Used:
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is sometimes called a straight line or, more archaically, a right line, to emphasize that it has no "wiggles" anywhere along its length.
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable ( y, usually), after we have substituted the domain.
Calculation:
The equation:
Make table to get some points on the graph
x | (x, y) | |
0 | (0, 2) | |
−2 | (− 2 , − 2 ) | |
−5 | (− 5 ,− 8 ) | |
1 | (1, 4) | |
3 | ( 3 , 8 ) |
Graph the ordered pairs, and connect them to create a smooth curve. The straight line is having x and y intercept at x = − 1 and y = 2. Extends both sides to infinity
Slope − intercept form of a straight line is y = mx + b
Where m is the slope of the line and b is the y − intercept. The graph is a straight line with a slope 2 The graph is a straight line. The domain is all real numbers. The range is all real numbers. | ![]() |
Thus, the domain is all real numbers. The range is all real numbers.
Chapter 9 Solutions
Algebra 1
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